Authors

• Masoud Ganji ¹
• Hossein Bevrani ²
• Nasrin Hami Golzar ¹

¹ Department of Mathematics and Statistics, University of Mohaghegh Ardabili, Ardabil, , IRAN

² Department of Statistics, University of Tabriz, Tabriz, IRAN

Abstract

Recently, it has been observed that a new method for generating continuous distributions, T - X family, can be quite effectively used to analyze the data in one dimension. The aim of this study is to generalize this method to two dimensional space so that the marginals would have T - X distributions. So, several examples and properties of this family have been presented. As an application, a special distribution of this family, called bivariate Weibull-Rayleigh-Rayleigh, is fitted to a data set and is shown to have a better fit.
 

Keywords

• Bivariate distribution‎
• ‎Shannon entropy‎
• ‎T-X family